Types of Number, Prime Factors, HCF & LCM (Edexcel IGCSE Maths A: Foundation): Exam Questions

Find the Highest Common Factor (HCF) of 180 and 320

Clara is hosting a party. The cups are in packs of 24 and the plates are in packs of 80. Clara needs the same amount of cups and plates.

Find the smallest number of packs of cups and packs of plates she can buy without having any left over.

............ packs of cups

............ packs of plates

From the numbers in the box, write down the multiple of 5.

From the numbers in the box, write down the factor of 30.

From the numbers in the box, write down the square number

From the numbers in the box, write down the prime number

Write 300 as a product of its prime factors. Show your working clearly.

Find the lowest common multiple (LCM) of and
Show your working clearly.

Here is a list of numbers.

9 11 13 15 21 60

From the numbers in the list, write down the even number.

From the numbers in the list, write down the square number

From the numbers in the list, write down the multiple of 7

From the numbers in the list, write down the factor of 30

Here is a list of numbers.

9 11 25 27 33 40

From the numbers in the list, write down

(i) an even number

(ii) a cube number

Hassan says,

“the sum of two prime numbers is always even”

Give an example to show that Hassan is not correct.

and

Find the highest common factor (HCF) of and
Give your answer as a product of powers of its prime factors.

6 9 11 14 16 23 27

From the numbers above, write down

(i) a multiple of 7

(ii) a factor of 12

(iii) a prime number

(iv) a cube number